- #1

chris_0101

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## Homework Statement

A sphere of a mass m and radius R is fired straight up with a speed v

_{0}

a) What is its speed when it hits the ground (Include quadratic air resistance but ignore linear air resistance

b) Evaluate the result for part (a) with R = 0.2c, v

_{0}= 1.3m/s and m = 100mg

I am puzzled with regards to whether or not I should include the upward motion and solving the question entirely

## Homework Equations

mg -cv

^{2}= m[itex]\frac{dv}{dt}[/itex]

## The Attempt at a Solution

After following my class notes, I found that the final velocity as a function of time is:

v(t) = v

_{terminal}*tanh(gt/v

_{terminal}})

Any help is greatly appreciated,

thanks